12555385632 has 144 divisors (see below), whose sum is σ = 38323598040. Its totient is φ = 3884875776.

The previous prime is 12555385627. The next prime is 12555385637. The reversal of 12555385632 is 23658355521.

12555385632 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 5 + 3 + 8 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (12555385627) and next prime (12555385637).

It can be written as a sum of positive squares in 4 ways, for example, as 9889109136 + 2666276496 = 99444^2 + 51636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12555385637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339844 + ... + 374972.

Almost surely, 2^12555385632 is an apocalyptic number.

12555385632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12555385632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19161799020).

12555385632 is an abundant number, since it is smaller than the sum of its proper divisors (25768212408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12555385632 is a wasteful number, since it uses less digits than its factorization.

12555385632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35235 (or 35224 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 12555385632 in words is "twelve billion, five hundred fifty-five million, three hundred eighty-five thousand, six hundred thirty-two".